Classification of the congruence classes of A_n^5(n≥6) with 2-torsion free homology  

作　　者：Zhongjian Zhu Jianzhong Pan 

机构地区：[1]College of Mathematics,Physics and Electronic Information Engineering,Wenzhou University,Wenzhou 325035,China [2]Hua Loo-Keng Key Laboratory of Mathematics,Institute of Mathematics,Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,China [3]School of Mathematical Sciences,University of Chinese Academy of Sciences,Beijing 100049,China

出　　处：《Science China Mathematics》2020年第7期1409-1428,共20页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation of China(Grant No.11701430);supported by National Natural Science Foundation of China(Grant Nos.11661131004 and 11131008)。

摘　　要：In this paper,we classify the congruence classes of Fn(2)5-polyhedra,i.e.,(n-1)-connected,at most(n+5)-dimensional polyhedra with 2-torsion free homology.The proof relies on the matrix problem technique which was developed in the classification of representations of algebras and applied to the homotopy theory by Baues and Drozd(1999).

关 键 词：HOMOTOPY INDECOMPOSABLE matrix problem congruence class 

分 类 号：O189.23[理学—数学]